Respuesta :

Answer:

  1. 729
  2. 49
  3. 16
  4. [tex] \sf 3 \frac{17}{36} [/tex]
  5. [tex] \sf \frac{16}{81} [/tex]
  6. 1.44
  7. 1
  8. -277.555.756.156.289.135.105.907.917.022.705.078.125
  9. 0.125

Step-by-step explanation:

A)

= 9 × 9 × 9

= 81 × 9

= 729

B)

(-7)²

= -7 × (-7)

= 7 × 7

= 49

C)

(-2)⁴

= -2 × (-2) × (-2) × (-2)

= 2 × 2 × 2 × 2

= 2² × 2²

= 4 × 4

= 16

D)

(⅚)³

= ⅚ × ⅚ × ⅚

[tex] \sf = \frac{ {5}^{3} }{ {6}^{3} } [/tex]

[tex] \sf = \frac{125}{36} [/tex]

[tex] \sf = 3 \frac{17}{36} [/tex]

E)

(-⅔)⁴

= -⅔ × (-⅔) × (-⅔) × (-⅔)

[tex] \sf = \frac{ {2}^{4} }{ {3}^{4} } [/tex]

[tex] \sf = \frac{16}{81} [/tex]

F)

1.2²

= 1.2 × 1.2

= 1.44

G)

1⁸

= 1 × 1 × 1 × 1 × 1 × 1 × 1 × 1

= 1

H)

(-5)⁵⁵

= (-5) × (-5) × .... × (-5)

= -277.555.756.156.289.135.105.907.917.022.705.078.125

I)

0.5³

= 0.5 × 0.5 × 0.5

= 0.25 × 0.5

= 0.125

Conclusion:

  • a. 9³ = 729
  • b. (-7)² = 49
  • c. -2⁴ = 16
  • d. (⅚)³ [tex] \sf = 3 \frac{17}{36} [/tex]
  • e. (-⅔)⁴ [tex] \sf = \frac{16}{81} [/tex]
  • f. 1.2² = 1.44
  • g. 1⁸ = 1
  • h. (-5)⁵⁵ = -277.555.756.156.289.135.105.907.917.022.705.078.125
  • i. 0.5³ = 0.125